I cannot present in Skype for Business

I had a similar issue and was able to restore the recording. Steps:

1. Start a new Skype for Business meeting, share the screen and turn on the recording.
2. Pause the recording.
3. Find temp files for the current recording in c:\Users\%USERNAME%\AppData\Local\Microsoft\Communicator\Recording Manager\Temporary Recording Files\.
4. Remove all files except lock.lock file.
5. Copy temp files from failed recording (that can also be found in c:\Users\%USERNAME%\AppData\Local\Microsoft\Communicator\Recording Manager\Temporary Recording Files\) to the current recording folder.
6. Stop the recording. Recording Manager will generated the recording based on temp files from the failed recording.

You can do the opposite: Use Skype for Business [=SfB] and (if not disabled by the SfB Administrator) your remote users invited could join as guests here with the Skype for Business Webclient which is asked to be downloaded during the join process.